On a subspace perturbation problem

DOI10.1090/S0002-9939-03-06917-XzbMath1056.47012arXivmath/0203240OpenAlexW2137623122MaRDI QIDQ4417248

Vadim Kostrykin, Alexander K. Motovilov, Konstantin A. Makarov

Publication date: 28 July 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203240

zbMATH Keywords

perturbation theoryspectral subspaces

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15)

Related Items (8)

On an estimate in the subspace perturbation problem ⋮ Sharpening the norm bound in the subspace perturbation theory ⋮ Diagonalization of indefinite saddle point forms ⋮ Notes on the \(\sin 2\Theta\) theorem ⋮ On invariant graph subspaces ⋮ On an integral formula for Fredholm determinants related to pairs of spectral projections ⋮ Notes on the subspace perturbation problem for off-diagonal perturbations ⋮ Perturbation of spectra and spectral subspaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation of spectral subspaces and solution of linear operator equations
• An extremal problem in Fourier analysis with applications to operator theory
• Closing the gap in a subspace perturbation bound
• The index of a pair of projections
• The rotation of eigenvectors by a perturbation. II
• The Rotation of Eigenvectors by a Perturbation. III

This page was built for publication: On a subspace perturbation problem